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Andrew is free from 11 am to 3 pm, Joanne is free from noon to 2 pm and then 3:30 pm to 5 pm. Hannah is available at noon for half an hour, and then 4 pm to 6 pm. What are some options for start times for a 30 minute meeting for Andrew, Hannah, and Joanne?

Question

Andrew is free from 11 am to 3 pm, Joanne is free from noon to 2 pm and then 3:30 pm to 5 pm. Hannah is available at noon for half an hour, and then 4 pm to 6 pm. What are some options for start times for a 30 minute meeting for Andrew, Hannah, and Joanne?

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Solution

The only time slot where all three, Andrew, Joanne, and Hannah, are available for a 30-minute meeting is from 12:00 pm to 12:30 pm. This is because:

  1. Andrew is free from 11 am to 3 pm, which includes the 12:00 pm to 12:30 pm slot.
  2. Joanne is free from 12 pm to 2 pm, which also includes the 12:00 pm to 12:30 pm slot.
  3. Hannah is available at 12 pm for half an hour, which exactly matches the 12:00 pm to 12:30 pm slot.

Therefore, the only option for a 30-minute meeting where all three are available is to start at 12:00 pm.

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